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1.
an affectionate term, for an affectionate act. After a session of sweet loving, the male partner wipes his hand accross his sniffling nose, paying particular attention to the index finger. The finger is then wiped gently accross his female partners top lip, leaving an authentic looking indian moustache.. Or a 'dirty sanjeev'.
I love you more than anything, please accept this dirty sanjeev as a token of my appreciation.

Or

Gross, that chick is wearing a major dirty sanjeev over her upper lip, the skank.
by cisco March 22, 2005